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Mathematics - Ellipse

Practise 12 BITSAT previous year questions on Ellipse, compiled from papers spanning 2010 to 2021. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty BITSAT tests.

Ellipse has been asked in 9 of the 16 years of BITSAT papers analysed (2009–2024), with 12 questions in all. 25% of them were easy, 50% moderate and 25% tough. Most of its questions came from 2021, with 2 questions that year.

The chapter's 3 topics are not weighted equally: Equation of Ellipse (7 questions, 58%), Tangent to ellipse (4 questions, 33%), and Auxillary Circle (1 question, 8%) have been asked the most. Equation of Ellipse has also led over the last five years, with 2 questions. Tangent to ellipse has produced the most tough questions (2).

  1. 1The eccentricity of the ellipse whose major axis is three times the minor axis is:2021Equation of Ellipse
  2. 2An ellipse has as semi minor axis, and its focii and the angle FBF' is a right angle. Then the eccentricity of the ellipse is2021Equation of Ellipse
  3. 3If touches the ellipse then2020Tangent to ellipse
  4. 4If the length of the major axis of the ellipse x 2 a 2 + y 2 b 2 = 1 is three times the length of minor axis, its eccentricity is2019Equation of Ellipse
  5. 5The locus of the foot of perpendicular drawn from the centre of the ellipse x 2 + 3 y 2 = 6 on any tangent to it is2019Tangent to ellipse
  6. 6The line passing through the extremity A of the major axis and extremity B of the minor axis of the ellipse x 2 + 9 y 2 = 9 meets its auxili2018Auxillary Circle
  7. 7If p and p ' denote the lengths of the perpendicular from a focus and the centre of an ellipse with semi-major axis of length a , respective2017Tangent to ellipse
  8. 8The eccentricity of an ellipse, with its centre at the origin, is . If one of the directrices is then the equation of the ellipse is:2015Equation of Ellipse
  9. 9An ellipse has as semi minor axis, and its focii and the angle is a right angle. Then the eccentricity of the ellipse is2013Equation of Ellipse
  10. 10and are the foci of an ellipse and is an end of the minor axis. If STB is an equilateral triangle, then the eccentricity of the ellipse is2013Equation of Ellipse
  11. 11The equation of the ellipse with focus at \(( 5,0)\) and \(x= {36}{5}\) as one directrix is2011Equation of Ellipse
  12. 12If the line \(2 x-1=0\) is the directrix of the parabola \(y^2-k x+6=0\), then one of the values of \(k\) is2010Tangent to ellipse

Frequently Asked Questions

1.How many questions are available for Ellipse?

This chapter includes 12 questions compiled from BITSAT papers spanning 2010 to 2021.

2.Are these questions only from BITSAT, or from other exams too?

These are BITSAT questions specifically for the Ellipse chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Ellipse an important chapter for BITSAT Mathematics?

Ellipse has appeared in 9 of the 16 years of BITSAT papers covered here, with 12 questions across 9 papers - about one per paper it appears in.

4.What is the difficulty level of Ellipse questions in BITSAT?

Of the 12 questions analysed for this chapter, 25% are easy, 50% moderate and 25% tough. 2021 had the most, with 2 questions.

5.Which topics in Ellipse should I focus on?

These topics have carried the most weightage in Ellipse:

  • Equation of Ellipse - 7 questions (58%)
  • Tangent to ellipse - 4 questions (33%)
  • Auxillary Circle - 1 question (8%)
  • Tangent to ellipse has produced the most tough questions (2).